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Finding the Fourth Proportional to 367.76, 551.36 and 194.42

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Solution

The fourth proportional to 367.76, 551.36 and 194.42 is: 291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 551.36 = 194.42 : x
  2. Step 2: Convert to fraction form
    367.76/551.36 = 194.42/x
  3. Step 3: Cross multiply
    367.76x = 551.36 × 194.42
  4. Step 4: Simplify right side
    367.76x = 107,195.41
  5. Step 5: Solve for x
    x = 107,195.41/367.76
  6. Step 6: Final answer
    x = 291.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.